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221120122230320 = 24523313876579983
BaseRepresentation
bin110010010001101110001010…
…010101101001011000110000
31001222220212200111200112200112
4302101232022111221120300
5212440313002242332240
62102141103134240452
764401254522241455
oct6221561225513060
91058825614615615
10221120122230320
1164501576455895
1220972689656128
13964c6cc150931
143c863b196b82c
151a86c96238665
hexc91b8a569630

221120122230320 has 80 divisors (see below), whose sum is σ = 553761697554432. Its totient is φ = 81873369219840.

The previous prime is 221120122230317. The next prime is 221120122230341. The reversal of 221120122230320 is 23032221021122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2211201222303202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1938232952 + ... + 1938347031.

Almost surely, 2221120122230320 is an apocalyptic number.

221120122230320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120122230320 is an abundant number, since it is smaller than the sum of its proper divisors (332641575324112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221120122230320 is a wasteful number, since it uses less digits than its factorization.

221120122230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876580050 (or 3876580044 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 221120122230320 its reverse (23032221021122), we get a palindrome (244152343251442).

The spelling of 221120122230320 in words is "two hundred twenty-one trillion, one hundred twenty billion, one hundred twenty-two million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 310 368 460 496 620 713 920 1240 1426 1840 2480 2852 3565 5704 7130 11408 14260 28520 57040 3876579983 7753159966 15506319932 19382899915 31012639864 38765799830 62025279728 77531599660 89161339609 120173979473 155063199320 178322679218 240347958946 310126398640 356645358436 445806698045 480695917892 600869897365 713290716872 891613396090 961391835784 1201739794730 1426581433744 1783226792180 1922783671568 2403479589460 2764001527879 3566453584360 4806959178920 5528003055758 7132907168720 9613918357840 11056006111516 13820007639395 22112012223032 27640015278790 44224024446064 55280030557580 110560061115160 221120122230320